First order differential systems with a nonlinear boundary condition via the method of solution-regions

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URI: http://hdl.handle.net/10347/24677
E-ISSN: 1687-2770
DOI: 10.1186/s13661-021-01495-9

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2021

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Springer Nature
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In this article we extend the known theory of solution regions to encompass nonlinear boundary conditions. We both provide results for new boundary conditions and recover some known results for the linear case

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Solution regions| Nonlinear boundary conditions| Existence results| Upper and lower solutions

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Frigon, M., Tella, M. & F. Tojo, F.A. First order differential systems with a nonlinear boundary condition via the method of solution-regions. Bound Value Probl 2021, 19 (2021). https://doi.org/10.1186/s13661-021-01495-9

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This work was partially supported by NSERC Canada. Marcos Tella and F. Adrián F. Tojo were partially supported by Ministerio de Economía y Competitividad, Spain, and FEDER, project MTM2013-43014-P, and by the Agencia Estatal de Investigación (AEI) of Spain under grant MTM2016-75140-P, co-financed by the European Community fund FEDER

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© The Author(s) 2021. Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/
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Estatística, Análise Matemática e Optimización
Instituto de Matemáticas